Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30 Equation 1
x - 4y = 18 Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.
<span>Benchmark fractions are created when we make two different fractions have the same numerator or denominator. In thisi case, we will produce the same denominator. The LCM of 10 and 12 is 60. So the fractions become 42/60 and 25/60. Since the fraction with the larger numerator has a larger value when the denominators are the same, 7/10 is larger than 5/12.</span>
Answer:
Step-by-step explanation:
The angles forming a straight angle are supplementary.
We have angles APC and DPB forming a straight angle with adjacent angle to both (either angle APD or CPB).
It means the correct choice is D.
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
